# Prime Factorization

## Description

Factor a positive integer into prime factors, preserving multiplicity.

## Input

The function receives an integer $n$ and a writable output array.

## Output

Write the prime factors of $n$ to the output array in nondecreasing order.

## Constraints

- $1 \le n \le \texttt{INT_MAX}$.

## Source

Classical integer-factorization problem reconstructed from the verified C artifact.